Descriptive geometry . ing plane of line A. 62. If a right line is perpendicular to a plane,the projections of that line will be perpendicularto the traces of the plane. In Figs. 103 and104 HN and VN are the traces of a plane towhich line A is perpendicular. The horizontalprojecting plane of line A is perpendicular toH by construction; it is also perpendicular toplane iV because it contains a line, A^ perpen-dicular to N therefore, being perpendicularto two planes it is perpendicular to their lineof intersection, HN. But ffJVis perpendicularto every line in the horizontal projecting planeof l

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Descriptive geometry . ing plane of line A. 62. If a right line is perpendicular to a plane, the projections of that line will be perpendicularto the traces of the plane. In Figs. 103 and104 HN and VN are the traces of a plane towhich line A is perpendicular. The horizontalprojecting plane of line A is perpendicular toH by construction; it is also perpendicular toplane iV because it contains a line, A^ perpen-dicular to N therefore, being perpendicularto two planes it is perpendicular to their lineof intersection, HN. But ffJVis perpendicularto every line in the horizontal projecting planeof line A which intersects it, and, therefore, perpendicular to A Q.E.D. In like manner VN may be proved to beperpendicular to A . The converse of thisproposition is true. 63. To project a point on to an oblique plane.Principle. The projection of a point on any plane is the intersection with that planeof a perpendicular let fall from the point tothe plane. Method. 1. From the given point draw A PERPEXDICUL.IR TO A PLANE 45. Fig. 101

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